Question

prediction with probability

draw a candy from the bag.

the probability of drawing a blue candy is \\(\frac{3}{10}\\).

predict how many times a blue candy will be chosen out of 100 draws.

? times

Explanation:

Identify the given probability

The probability of drawing a blue candy is given as:

$$P(\text{blue}) = \frac{3}{10}$$

Identify the total number of trials

The total number of draws (trials) is:

$$n = 100$$

Calculate the predicted frequency

To predict the number of times a blue candy is chosen, multiply the probability by the total number of trials:

$$\text{Predicted times} = n \times P(\text{blue})$$

$$\text{Predicted times} = 100 \times \frac{3}{10}$$

Simplify the expression

Calculate the final value:

$$\text{Predicted times} = 10 \times 3 = 30$$

Answer:

Predict how many times a blue candy will be chosen out of 100 draws. <blank>30</blank> times